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Finding the Fourth Proportional to 165,058, 227,782.80 and 89,606.50

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Solution

The fourth proportional to 165,058, 227,782.80 and 89,606.50 is: 123,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,058 : 227,782.80 = 89,606.50 : x
  2. Step 2: Convert to fraction form
    165,058/227,782.80 = 89,606.50/x
  3. Step 3: Cross multiply
    165,058x = 227,782.80 × 89,606.50
  4. Step 4: Simplify right side
    165,058x = 20,410,819,468.20
  5. Step 5: Solve for x
    x = 20,410,819,468.20/165,058
  6. Step 6: Final answer
    x = 123,658.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.